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arXiv · 2206.11016

Some canonical metrics {\em via} Aubin's local deformations

Giovanni Catino·Davide Dameno·Paolo Mastrolia
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Abstract

In this paper, using special metric deformations introduced by Aubin, we construct Riemannian metrics satisfying non-vanishing conditions concerning the Weyl tensor, on every compact manifold. In particular, in dimension four, we show that there are no topological obstructions for the existence of metrics with non-vanishing Bach tensor.

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Giovanni Catino, Davide Dameno, Paolo Mastrolia. 2022-06-22. Some canonical metrics {\em via} Aubin's local deformations. https://arxiv.org/abs/2206.11016

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